type collecting functions for analytical coordinate mapping More...

Collaboration diagram for sll_t_mapping_3d:

Private Member Functions
procedure	get_x1
	Calculate x1(xi1,xi2,xi3) More...

procedure	get_x2
	Calculate x2(xi1,xi2,xi3) More...

procedure	get_x3
	Calculate x3(xi1,xi2,xi3) More...

procedure	get_x
	Calculate x(xi1,xi2,xi3) More...

procedure	get_xi
	Calculate xi(x1,x2,x3) More...

procedure	jacobian
	Calculate the determinant of the jacobian matrix. More...

procedure	jacobian_matrix
	Calculate the jacobian matrix of the mapping. More...

procedure	jacobian_matrix_transposed
	Calculate the transposed jacobian matrix of the mapping. More...

procedure	jacobian_matrix_inverse
	Calculate the inverse of the jacobian matrix of the mapping. More...

procedure	jacobian_matrix_inverse_transposed
	Calculate transposed inverse of the jacobian matrix of the mapping. More...

procedure	metric
	Calculate the metric of the mapping. More...

procedure	metric_inverse
	Calculate the inverse metric of the mapping. More...

procedure	metric_single
	Calculate one entry of the metric of the mapping. More...

procedure	metric_inverse_single
	Calculate one entry of the inverse metric of the mapping. More...

procedure	metric_single_jacobian
	Calculate one entry of the metric of the mapping divided by the jacobian. More...

procedure	metric_inverse_single_jacobian
	Calculate one entry of the inverse metric of the mapping multiplied by the jacobian. More...

procedure	init
	Initialize the mapping class. More...

procedure	init_from_file
	Initialize the mapping class with parameters read from nml-file. More...

procedure	free
	Free mapping class. More...

Private Attributes
type(matrix_element), dimension(:,:), pointer	j_matrix
	jacobi matrix More...

procedure(sll_i_eval_function), pointer, nopass	jacob
	determinant of the jacobi matrix More...

procedure(sll_i_eval_function), pointer, nopass	x1_func
	coordinate transformation function More...

procedure(sll_i_eval_function), pointer, nopass	x2_func
	coordinate transformation function More...

procedure(sll_i_eval_function), pointer, nopass	x3_func
	coordinate transformation function More...

procedure(sll_i_eval_function), pointer, nopass	xi1_func
	coordinate transformation function More...

procedure(sll_i_eval_function), pointer, nopass	xi2_func
	coordinate transformation function More...

procedure(sll_i_eval_function), pointer, nopass	xi3_func
	coordinate transformation function More...

real(kind=f64), dimension(:), pointer	params
	transformation parameters More...

logical	flag = .false.
	flag is true if entries of the Jacobian matrix and its determinant are given analytically More...

logical	flag2d = .false.
	logical flag for mappings mixing the first two logical coordiantes More...

logical	flag3d = .false.
	logical flag for mappings mixing all three logical coordinates More...

logical	singular = .false.
	logical for singular mapping More...

logical	inverse = .false.
	logical for analytical inverse of the chosen mapping More...

type(sll_t_spline_pp_3d)	spline_3d
	3d pp-spline More...

real(kind=f64), dimension(:,:), allocatable	x1_func_dofs_pp
	coefficient for spline mapping More...

real(kind=f64), dimension(:,:), allocatable	x2_func_dofs_pp
	coefficient for spline mapping More...

real(kind=f64), dimension(:,:), allocatable	x3_func_dofs_pp
	coefficient for spline mapping More...

integer(kind=i32), dimension(3)	n_cells
	number of cells (and grid points) More...

integer(kind=i32), dimension(3)	deg
	spline deg More...

real(kind=f64)	volume = 1._f64
	volume of physical domain More...

real(kind=f64), dimension(3)	lx = 1._f64
	length of physical domain More...

Detailed Description

type collecting functions for analytical coordinate mapping

Definition at line 68 of file sll_m_mapping_3d.F90.

Member Function/Subroutine Documentation

◆ free()

procedure free

private

Free mapping class.

Definition at line 135 of file sll_m_mapping_3d.F90.

◆ get_x()

procedure get_x

private

Calculate x(xi1,xi2,xi3)

Definition at line 105 of file sll_m_mapping_3d.F90.

◆ get_x1()

procedure get_x1

private

Calculate x1(xi1,xi2,xi3)

Definition at line 99 of file sll_m_mapping_3d.F90.

◆ get_x2()

procedure get_x2

private

Calculate x2(xi1,xi2,xi3)

Definition at line 101 of file sll_m_mapping_3d.F90.

◆ get_x3()

procedure get_x3

private

Calculate x3(xi1,xi2,xi3)

Definition at line 103 of file sll_m_mapping_3d.F90.

◆ get_xi()

procedure get_xi

private

Calculate xi(x1,x2,x3)

Definition at line 107 of file sll_m_mapping_3d.F90.

◆ init()

procedure init

private

Initialize the mapping class.

Definition at line 131 of file sll_m_mapping_3d.F90.

◆ init_from_file()

procedure init_from_file

private

Initialize the mapping class with parameters read from nml-file.

Definition at line 133 of file sll_m_mapping_3d.F90.

◆ jacobian()

procedure jacobian

private

Calculate the determinant of the jacobian matrix.

Definition at line 109 of file sll_m_mapping_3d.F90.

◆ jacobian_matrix()

procedure jacobian_matrix

private

Calculate the jacobian matrix of the mapping.

Definition at line 111 of file sll_m_mapping_3d.F90.

◆ jacobian_matrix_inverse()

procedure jacobian_matrix_inverse

private

Calculate the inverse of the jacobian matrix of the mapping.

Definition at line 115 of file sll_m_mapping_3d.F90.

◆ jacobian_matrix_inverse_transposed()

procedure jacobian_matrix_inverse_transposed

private

Calculate transposed inverse of the jacobian matrix of the mapping.

Definition at line 117 of file sll_m_mapping_3d.F90.

◆ jacobian_matrix_transposed()

procedure jacobian_matrix_transposed

private

Calculate the transposed jacobian matrix of the mapping.

Definition at line 113 of file sll_m_mapping_3d.F90.

◆ metric()

procedure metric

private

Calculate the metric of the mapping.

Definition at line 119 of file sll_m_mapping_3d.F90.

◆ metric_inverse()

procedure metric_inverse

private

Calculate the inverse metric of the mapping.

Definition at line 121 of file sll_m_mapping_3d.F90.

◆ metric_inverse_single()

procedure metric_inverse_single

private

Calculate one entry of the inverse metric of the mapping.

Definition at line 125 of file sll_m_mapping_3d.F90.

◆ metric_inverse_single_jacobian()

procedure metric_inverse_single_jacobian

private

Calculate one entry of the inverse metric of the mapping multiplied by the jacobian.

Definition at line 129 of file sll_m_mapping_3d.F90.

◆ metric_single()

procedure metric_single

private

Calculate one entry of the metric of the mapping.

Definition at line 123 of file sll_m_mapping_3d.F90.

◆ metric_single_jacobian()

procedure metric_single_jacobian

private

Calculate one entry of the metric of the mapping divided by the jacobian.

Definition at line 127 of file sll_m_mapping_3d.F90.

Member Data Documentation

◆ deg

integer(kind=i32), dimension(3) deg

private

spline deg

Definition at line 93 of file sll_m_mapping_3d.F90.

◆ flag

logical flag = .false.

private

flag is true if entries of the Jacobian matrix and its determinant are given analytically

Definition at line 80 of file sll_m_mapping_3d.F90.

◆ flag2d

logical flag2d = .false.

private

logical flag for mappings mixing the first two logical coordiantes

Definition at line 81 of file sll_m_mapping_3d.F90.

◆ flag3d

logical flag3d = .false.

private

logical flag for mappings mixing all three logical coordinates

Definition at line 82 of file sll_m_mapping_3d.F90.

◆ inverse

logical inverse = .false.

private

logical for analytical inverse of the chosen mapping

Definition at line 84 of file sll_m_mapping_3d.F90.

◆ j_matrix

type(matrix_element), dimension(:,:), pointer j_matrix

private

jacobi matrix

Definition at line 70 of file sll_m_mapping_3d.F90.

◆ jacob

procedure(sll_i_eval_function), pointer, nopass jacob

private

determinant of the jacobi matrix

Definition at line 71 of file sll_m_mapping_3d.F90.

◆ lx

real(kind=f64), dimension(3) lx = 1._f64

private

length of physical domain

Definition at line 95 of file sll_m_mapping_3d.F90.

◆ n_cells

integer(kind=i32), dimension(3) n_cells

private

number of cells (and grid points)

Definition at line 92 of file sll_m_mapping_3d.F90.

◆ params

real(kind=f64), dimension(:), pointer params

private

transformation parameters

Definition at line 78 of file sll_m_mapping_3d.F90.

◆ singular

logical singular = .false.

private

logical for singular mapping

Definition at line 83 of file sll_m_mapping_3d.F90.

◆ spline_3d

type(sll_t_spline_pp_3d) spline_3d

private

3d pp-spline

Definition at line 86 of file sll_m_mapping_3d.F90.

◆ volume

real(kind=f64) volume = 1._f64

private

volume of physical domain

Definition at line 94 of file sll_m_mapping_3d.F90.

◆ x1_func

procedure(sll_i_eval_function), pointer, nopass x1_func

private

coordinate transformation function

Definition at line 72 of file sll_m_mapping_3d.F90.

◆ x1_func_dofs_pp

real(kind=f64), dimension(:,:), allocatable x1_func_dofs_pp

private

coefficient for spline mapping

Definition at line 88 of file sll_m_mapping_3d.F90.

◆ x2_func

procedure(sll_i_eval_function), pointer, nopass x2_func

private

coordinate transformation function

Definition at line 73 of file sll_m_mapping_3d.F90.

◆ x2_func_dofs_pp

real(kind=f64), dimension(:,:), allocatable x2_func_dofs_pp

private

coefficient for spline mapping

Definition at line 89 of file sll_m_mapping_3d.F90.

◆ x3_func

procedure(sll_i_eval_function), pointer, nopass x3_func

private

coordinate transformation function

Definition at line 74 of file sll_m_mapping_3d.F90.

◆ x3_func_dofs_pp

real(kind=f64), dimension(:,:), allocatable x3_func_dofs_pp

private

coefficient for spline mapping

Definition at line 90 of file sll_m_mapping_3d.F90.

◆ xi1_func

procedure(sll_i_eval_function), pointer, nopass xi1_func

private

coordinate transformation function

Definition at line 75 of file sll_m_mapping_3d.F90.

◆ xi2_func

procedure(sll_i_eval_function), pointer, nopass xi2_func

private

coordinate transformation function

Definition at line 76 of file sll_m_mapping_3d.F90.

◆ xi3_func

procedure(sll_i_eval_function), pointer, nopass xi3_func

private

coordinate transformation function

Definition at line 77 of file sll_m_mapping_3d.F90.

Private Member Functions

Private Attributes

Detailed Description

Member Function/Subroutine Documentation

◆ free()

◆ get_x()

◆ get_x1()

◆ get_x2()

◆ get_x3()

◆ get_xi()

◆ init()

◆ init_from_file()

◆ jacobian()

◆ jacobian_matrix()

◆ jacobian_matrix_inverse()

◆ jacobian_matrix_inverse_transposed()

◆ jacobian_matrix_transposed()

◆ metric()

◆ metric_inverse()

◆ metric_inverse_single()

◆ metric_inverse_single_jacobian()

◆ metric_single()

◆ metric_single_jacobian()

Member Data Documentation

◆ deg

◆ flag

◆ flag2d

◆ flag3d

◆ inverse

◆ j_matrix

◆ jacob

◆ lx

◆ n_cells

◆ params

◆ singular

◆ spline_3d

◆ volume

◆ x1_func

◆ x1_func_dofs_pp

◆ x2_func

◆ x2_func_dofs_pp

◆ x3_func

◆ x3_func_dofs_pp

◆ xi1_func

◆ xi2_func

◆ xi3_func